| Presentation | 2018-08-09 Inferring the largest Lyapunov exponent from the symbolic dynamics of chaotic time series Takaya Miyano, Kazuki Kajita, Hiroshi Gotoda, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In existing methods for estimating the largest Lyapunov exponent from a time series, the rate of increment in the distance between initially neighboring trajectories reconstructed in embedding space from the series is used to estimate the exponent. In this study, we show an alternative method for estimating a surrogate measure for the largest Lyapunov exponent from the symbolic dynamics transformed from a time series without tracing neighboring trajectories in embedding space. The validity of the method is examined through numerical experiments. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | time series / Lyapunov exponent / symbolic dynamics / information entropy / randomly transitional oscillations |
| Paper # | NLP2018-68 |
| Date of Issue | 2018-08-01 (NLP) |
| Conference Information | |
| Committee | NLP |
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| Conference Date | 2018/8/8(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Saiwai-cho Campus, Kagawa Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | etc. |
| Chair | Norikazu Takahashi(Okayama Univ.) |
| Vice Chair | Hiroaki Kurokawa(Tokyo Univ. of Tech.) |
| Secretary | Hiroaki Kurokawa(Hiroshima Inst. of Tech.) |
| Assistant | Masayuki Kimura(Kyoto Univ.) / Yutaka Shimada(Saitama Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Inferring the largest Lyapunov exponent from the symbolic dynamics of chaotic time series |
| Sub Title (in English) | |
| Keyword(1) | time series |
| Keyword(2) | Lyapunov exponent |
| Keyword(3) | symbolic dynamics |
| Keyword(4) | information entropy |
| Keyword(5) | randomly transitional oscillations |
| 1st Author's Name | Takaya Miyano |
| 1st Author's Affiliation | Ritsuemiakn University(Ritsumeikan Univ.) |
| 2nd Author's Name | Kazuki Kajita |
| 2nd Author's Affiliation | Ritsuemiakn University(Ritsumeikan Univ.) |
| 3rd Author's Name | Hiroshi Gotoda |
| 3rd Author's Affiliation | Tokyo University of Science(TUS) |
| Date | 2018-08-09 |
| Paper # | NLP2018-68 |
| Volume (vol) | vol.118 |
| Number (no) | NLP-174 |
| Page | pp.pp.81-85(NLP), |
| #Pages | 5 |
| Date of Issue | 2018-08-01 (NLP) |